Unsure (subsidised vs private)

I am currently in the subsidised route at NUH. However my husband and I would like to have our own room so he can stay with me during delivery. We don’t mind the different gynaes via the subsidised route and personally don’t think having our own personal private gynae is necessary. Do you think it’s possible to opt for single bedder later in the pregnancy? Or during delivery time itself. Not sure how this works… FTM. Has anyone done this before?